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Finding the Fourth Proportional to 41,008, 61,505.76 and 11,422.72

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Solution

The fourth proportional to 41,008, 61,505.76 and 11,422.72 is: 17,132.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,008 : 61,505.76 = 11,422.72 : x
  2. Step 2: Convert to fraction form
    41,008/61,505.76 = 11,422.72/x
  3. Step 3: Cross multiply
    41,008x = 61,505.76 × 11,422.72
  4. Step 4: Simplify right side
    41,008x = 702,563,074.87
  5. Step 5: Solve for x
    x = 702,563,074.87/41,008
  6. Step 6: Final answer
    x = 17,132.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.